Question

prove that cot²-tan²= cosec²-sec²​

Answer 1

Answer:

RTP:  cot²-tan²= cosec²-sec²​

LHS: cot²-tan²

cosec²-1-tan² .          [∵cosec²-1=cot²]

cosec²-1-[sec²​-1] .      [∵sec²​-1=tan² ]

cosec²-1-sec²​+1

cosec²-sec²​=RHS

hence proved